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Finding the Third Proportional to 4,701 and 8,817

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Solution

The third proportional to 4,701 and 8,817 is: 16,536.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701 : 8,817 = 8,817 : x
  2. Step 2: Convert to fraction form
    4,701/8,817 = 8,817/x
  3. Step 3: Cross multiply
    4,701x = 8,817 × 8,817
  4. Step 4: Simplify right side
    4,701x = 77,739,489
  5. Step 5: Solve for x
    x = 77,739,489/4,701
  6. Step 6: Final answer
    x = 16,536.80

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.